Example $($Equal sample sizes$)$: A factory manufacturing small bolts. To check the quality of the bolts, the manufacturer selected $10$ samples of same size $100$ from the manufacturing process time to time. $H\frac{e}{?}$ she visually inspected each selected bolt for certain defects. After the inspection, he$/$she obtained the following data:

$\backslash$table$[[\backslash$table$[[$Sample$],[$Number$]],1,2,3,4,5,6,7,8,9,10],[\backslash$table$[[$Number of$],[$Defectives$]],10,4,8,15,8,0,1,5,5,8]]$

Find center line, upper and lower control limits and construct p$-$chart.

Does the process appear to be under control with respect to the proportion of defective bolts?

Is that process in control? if no$,$ reconstruct control chart by removing out of control data points?

Solve this example yourself